[SIRTRIS]

The principle of Al-Takeyya The Arabic word, "Takeyya", means "to prevent," or guard against. The principle of Al Takeyya conveys the understanding that Muslims are permitted to lie as a preventive measure against anticipated harm to one's self or fellow Muslims. This principle gives Muslims the liberty to lie under circumstances that they perceive as life threatening. They can even deny the faith, if they do not mean it in their hearts. Al-Takeyya is based on the following Quranic verse: "Let not the believers Take for friends or helpers Unbelievers rather than believers: if any do that, in nothing will there be help from Allah: except by way of precaution (prevention), that ye may Guard yourselves from them (prevent them from harming you.) But Allah cautions you (To remember) Himself; for the final goal is to Allah." Surah 3: 28

[RS]

"Al-Takeyya is based on the following Quranic verse:...."

Nope, the verse you cite says nothing about lying, whoever you are getting your info from is simply wrong - Perhaps you may want to look at a different translation http://etext.virginia.edu/etcbin/ot2www-koran?specfile=/lv2/english/relig/koran/www/koran.o2w&act=surround&offset=82561&tag=Koran.003&query=3:28



But...you may want to look at -

"Any one who, after accepting faith in Allah, utters Unbelief, except under compulsion, his heart remaining firm in Faith - but such as open their breast to Unbelief, on them is Wrath from Allah, and theirs will be a dreadful Penalty." Surah 16: 106

This allows a believer under compulsion to tell falsehoods.